A small mirror is suspended from a torsion fiber, which provides a restoring torque −κθ, where...
A small mirror is suspended from a torsion fiber, which provides a restoring torque −κθ, where θ is the angle of twist. The suspended mirror is in contact with a gas at temperature T. This is a torsional oscillator with energy E = 1/2* Iω^2 + 1/2* κ*θ^2 , where ω is the angular velocity, I is the moment of inertia, and θ is measured from the equilibrium position. Find <θ^2>^ (1/2) , the root mean square fluctuation in θ at 300 K if κ = 10^−13 N m.
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A small mirror is suspended from a torsion fiber, which provides
a restoring torque −κθ, where...
A circular loop of wire of radius R carries a current I in a region where...
A circular loop of wire of radius R carries a current I in a region where a uniform magnetic field of magnitude B0 is present. (a) If the magnetic dipole moment of the loop makes an angle θ < π/2 with the magnetic field, do a drawing that includes the loop of current, its magnetic dipole moment, the magnetic field, and the direction of the torque experienced by the loop. Make sure to indicate the current i and the angle...
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1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What...
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We Part (a) [2 marks] The angular displacement of the rigid body ranges from θ =...
We
Part (a) [2 marks]
The angular displacement of the rigid body ranges from
θ = 0° (the vertical as shown in the figure) to θ
= 135° and can be modelled using simple harmonic motion. Assuming a
rate of 20 [reps/min], write down an expression for angular
displacement, θ [rad] as a function of time, t [s]. You may assume
that the motion starts with an angular displacement of 135°.
Hint: The angular displacement, θ can be expressed as...
the list of equations to list are attached! thanks! 6. A playground merry-go-round, i.e., a horizontal...
the list of equations to list are attached! thanks!
6. A playground merry-go-round, i.e., a horizontal disc of radius 3 m that can rotate about a vertical axis through its center, is rotating at an angular speed 1/s (measured, as usual, in terms of radians). The moment of inertia of the merry-go-round with respect to that axis is 3000 kg m? A student of mass 80 kg is standing at the center of the merry-go-round. The student now walks outward...
please answer all prelab questions, 1-4. This is the prelab manual, just in case you need...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
Consider the rotational system with angular velocity "Ω(t)" and input torque "T(t)." TC From Newton's Law, the equation of motion is J Ω(t)-B. Ω(t) Now suppose that this input torque is supplied by an electric motor Specifically, T(t) T(t) -Kamp Vin(t) where 1) "Vin is the input voltage supplied to the motor N-m 2) "Kamp" is the motor gain (this constant has units of Volt) So, the transfer function for this system is (s)Kamp The moment of inertia is known...
1 Moment of inertia of a solid uniform sphere around its axis of symmetry a) What is the volume element dV of a sphere? b) Assume a constant density p MIV, calculate the moment of inertia, remember that r is measured from the rotation axis for each volume element Use the volume of a sphere to get a solution that only depends on the mass M and radius R of the sphere. c) 2) Spinning DVD On a DVD, data...
We
Part (a) [2 marks]
The angular displacement of the rigid body ranges from
θ = 0° (the vertical as shown in the figure) to θ
= 135° and can be modelled using simple harmonic motion. Assuming a
rate of 20 [reps/min], write down an expression for angular
displacement, θ [rad] as a function of time, t [s]. You may assume
that the motion starts with an angular displacement of 135°.
Hint: The angular displacement, θ can be expressed as...
the list of equations to list are attached! thanks!
6. A playground merry-go-round, i.e., a horizontal disc of radius 3 m that can rotate about a vertical axis through its center, is rotating at an angular speed 1/s (measured, as usual, in terms of radians). The moment of inertia of the merry-go-round with respect to that axis is 3000 kg m? A student of mass 80 kg is standing at the center of the merry-go-round. The student now walks outward...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
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